Finding the Third Proportional to 9,376 and 23,264

Step by Step Solution

1. Step 1: Write the proportion equation
   9,376 : 23,264 = 23,264 : x
2. Step 2: Convert to fraction form
   9,376/23,264 = 23,264/x
3. Step 3: Cross multiply
   9,376x = 23,264 × 23,264
4. Step 4: Simplify right side
   9,376x = 541,213,696
5. Step 5: Solve for x
   x = 541,213,696/9,376
6. Step 6: Final answer
   x = 57,723.30